Abstract
We propose an efficient protocol for digital quantum simulation of quantum chemistry problems and enhanced digital-analog quantum simulation of transport phenomena in biomolecules with superconducting circuits. Along these lines, we optimally digitize fermionic models of molecular structure with single-qubit and two-qubit gates, by means of Trotter-Suzuki decomposition and Jordan-Wigner transformation. Furthermore, we address the modelling of system-environment interactions of biomolecules involving bosonic degrees of freedom with a digital-analog approach. Finally, we consider gate-truncated quantum algorithms to allow the study of environmental effects.
Highlights
We propose an efficient protocol for digital quantum simulation of quantum chemistry problems and enhanced digital-analog quantum simulation of transport phenomena in biomolecules with superconducting circuits
We have proposed methods to perform feasible digital and digital-analog quantum simulations of molecular structures and biomolecules with the state-of-the-art of superconducting circuit technology
We analyse different quantum chemistry models by increasing gradually the complexity, moving from purely fermionic models of molecular structures to descriptions of charge transport in biomolecules embedded in a bosonic medium
Summary
We propose an efficient protocol for digital quantum simulation of quantum chemistry problems and enhanced digital-analog quantum simulation of transport phenomena in biomolecules with superconducting circuits. Remarkable experimental progress in cQED has enabled the realisation of digital quantum simulations of fermions[28], spin systems[29], and adiabatic quantum computing[30] These aspects, along with the possibility of encoding both fermions and bosons in this platform via digital[31,32,33,34] and digital-analog techniques[35], make cQED a suitable platform for simulating electronic Hamiltonians[36] and dissipative processes. We combine efficient digital quantum simulation techniques for electronic Hamiltonians with existing algorithms in quantum chemistry, and we analyze the scalability and feasibility according to the state-of-the-art cQED27 In this sense, we study the gate fidelities required for the proposed tasks and the error propagation. We extend these procedures by exploiting the possibility of mimicking bosons in superconducting circuits taking full advantage of the multimode spectrum of superconducting transmission lines[37,38,39,40,41], and propose digital-analog quantum simulations of electron transfer and electronic transport in biomolecules[42,43,44]
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